相对于挠理论的Jacobson环的Morita不变性

Morita Invariance Ralativety to τ-Jacobson Ring

设τ是一个挠理论。本文定义了τ－Ｊａｃｏｂｓｏｎ环，证明出τ－Ｊａｃｏｂｓｏｎ环具有Ｍｏｒｉｔａ等价不变性，即若模范畴Ｒ－ｍｅｄ≈Ｓ－ｍｏｄ，则Ｒ是τ－Ｊａｃｏｂｓｏｎ环，当且仅当Ｓ是σ＝θ（τ）－Ｊａｃｏｂｓｏｎ环。

Let τ a trosion theory on R-mod, we define the τ-Jacobson ring and shall prove Moritainvariance relativetv to τ-Jacobson ring,i.e. If normal category R-mod ≈ S-md,then R is τ-Jacobson ring,if only if S is σ= θ(τ)-Jcobson ring.